This looked like an interesting problem to get the mental juices flowing on a Saturday morning. I see you've already received much help so, rather than trying to modify your code, I decided to write it from scratch. A few notes on some the things I did follow; ask if you want to know about anything else.

• The autodie pragma handles I/O exceptions so I don't have to worry about doing that. I note that you're not checking any I/O operations.
• I used constants to specify the indices of the search and replace elements in the CSV file. If the CSV format ever changes, you'll probably only need to change one or two numbers; as opposed to recoding splice() statements in a couple of places.
• I used IO::Prompter for the choice of replacement text where more than one option existed. That used a lot less code than what's curently in search_and_replace() and has many more features. Options are presented in the form of a menu and you only need to hit one key (i.e. no newline) to make a selection. I've also used colour: if you want to use that you may need to fiddle with it a bit (it looks good on my black background). That uses Term::ANSIColor; I've added extra colour in a few places, such as highlighting the text to be replaced.
• Text::CSV will use Text::CSV_XS if it's installed; but the code will still work if it's not.
• The code is modular and pretty much all the work is done in three, short subroutines: _process_csv(), _process_text() and _replace(). Also note that those routines only use variables that are passed to them: there's no action-at-a-distance, or similar problems, from global or file-scoped variables.

Here's whitelist_sr.pl:

#!/usr/bin/env perl

use strict;
use warnings;
use autodie;

use constant {
    SEARCH  => 0,
    REPLACE => 2,
};

use File::Copy;
use List::Util 'uniq';
use IO::Prompter [
    -single,
    -style => 'bold blue',
    -echostyle => 'bold magenta',
];
use Term::ANSIColor;
use Text::CSV;

# For testing:
BEGIN {
    copy('whitelist_sr_original.txt', 'whitelist_sr.txt');
}

my $csv_file = 'whitelist_sr.csv';
my $source_file = 'whitelist_sr_src.txt';
my $text_file = 'whitelist_sr.txt';
copy($text_file, $source_file);

my ($sr, $re) = _process_csv($csv_file);
_process_text($source_file, $text_file, $sr, $re);
unlink $source_file;

sub _process_text {
    my ($source_file, $text_file, $sr, $re) = @_;

    open my $src_fh, '<', $source_file;
    open my $txt_fh, '>', $text_file;

    while (my $line = <$src_fh>) {
        while ($line =~ /$re/g) {
            my $frag = $1;
            $line =~ s/$frag/_replace($line, $frag, $sr, $re)/e;
        }
        print $txt_fh $line;
    }

    return;
}

sub _replace {
    my ($line, $frag, $sr, $re) = @_;

    my $replace;

    if (@{$sr->{$frag}} == 1) {
        $replace = $sr->{$frag}[0];
    }
    else {
        $line =~ /$re/;
        $line = colored(substr($line, 0, $-[0]), 'dark yellow')
              . colored($1, 'bold yellow')
              . colored(substr($line, $+[0]), 'dark yellow');
        print colored("Current line:", 'bold white'), ' ', $line;
        my $index = prompt "Replace '$frag' with:",
               -number,
               -menu => {
                   map +($sr->{$frag}[$_] => $_), 0 .. $#{$sr->{$frag}
+}
               },
               '> ';
        $replace = $sr->{$frag}[$index];
    }

    return $replace;
}

sub _process_csv {
    my ($csv_file) = @_;

    my $sr = {};
    my $csv = Text::CSV::->new();
    open my $fh, '<', $csv_file;

    while (my $row = $csv->getline($fh)) {
        push @{$sr->{$row->[SEARCH]}}, $row->[REPLACE];
    }

    $sr->{$_} = [ uniq @{$sr->{$_}} ] for keys %$sr;

    my $alt = join '|', map "\Q$_", sort {
        length $b <=> length $a
    } keys %$sr;
    my $re = qr{\b($alt)\b};

    return ($sr, $re);
}
[download]

I extended your CSV file to enable more testing. It's in the spoiler:

$ cat whitelist_sr.csv
whitelist entries,Noun,access list entries
IP whitelist,Noun,IP access list
IP whitelist entries,Noun,IP access list entries
whitelist,Adjective,allow
whitelist,Noun,access list
whitelist,Noun,access-list
whitelist,Verb,allow
your whitelist,Noun,your access list
your whitelist,Noun,my permission list
your whitelist,Noun,thy permission list
your whitelist,Noun,his permission list
your whitelist,Noun,her permission list
your whitelist,Noun,its permission list
your whitelist,Noun,our permission list
your whitelist,Noun,your permission list
your whitelist,Noun,their permission list
Verb,Noun,action
Verb,,action
[download]

I also created my own text file for testing. Again, in the spoiler:

$ cat whitelist_sr_original.txt
whitelist entries,Noun,access list entries
IP whitelist,Noun,IP access list
IP whitelist entries,Noun,IP access list entries
whitelist,Adjective,allow
whitelist,Noun,access list
whitelist,Noun,access-list
whitelist,Verb,allow
your whitelist,Noun,your access list
your whitelist,Noun,my permission list
your whitelist,Noun,thy permission list
your whitelist,Noun,his permission list
your whitelist,Noun,her permission list
your whitelist,Noun,its permission list
your whitelist,Noun,our permission list
your whitelist,Noun,your permission list
your whitelist,Noun,their permission list

IP whitelist IP whitelist entries IP whitelist
IP whitelistIP whitelist entriesIP whitelist
whitelist whitelist whitelist whitelist
whitelistwhitelistwhitelistwhitelist
IP whitelist whitelist entries whitelist
IPwhitelistwhitelistentrieswhitelist

IP whitelist your whitelist whitelist
IP whitelistyour whitelistwhitelist
IPwhitelist yourwhitelist whitelist
[download]

Here's a rough representation of part of a run, showing dynamic changes to a line as a number of matches are found and the selected substitutions are made:

Current line: whitelist whitelist whitelist whitelist
Replace 'whitelist' with:
   1. access list
   2. access-list
   3. allow

> 2
Current line: access-list whitelist whitelist whitelist
Replace 'whitelist' with:
   1. access list
   2. access-list
   3. allow

> 3
Current line: access-list allow whitelist whitelist
Replace 'whitelist' with:
   1. access list
   2. access-list
   3. allow

> 1
Current line: access-list allow access list whitelist
Replace 'whitelist' with:
   1. access list
   2. access-list
   3. allow

> 2

Here's the final result after that full run. Spoiler again: