What you actually have there is an array of hashes.

Since the delete function returns the item that was deleted, we can use it directly in the assignmnent:

use warnings;
use strict;

use Data::Dumper;

my $aref = [
          {
            'name' => 'Tim',
            'total' => 4,
            'months' => 1,
            'days' => 3
          },
          {
            'total' => 22,
            'name' => 'Adam',
            'days' => 22
          },
          {
            'name' => 'Keas',
            'total' => 114,
            'months' => 5,
            'days' => 107,
            'test' => 2
          }
];

my $href;

$href->{delete $_->{name}} = $_ for @$aref;

print Dumper $href;
[download]

Output:

$VAR1 = {
          'Adam' => {
                      'days' => 22,
                      'total' => 22
                    },
          'Keas' => {
                      'total' => 114,
                      'test' => 2,
                      'days' => 107,
                      'months' => 5
                    },
          'Tim' => {
                     'total' => 4,
                     'days' => 3,
                     'months' => 1
                   }
        };
[download]