You need to tie each inner hash (those keyed by "alice", "andy", and "john"):

use Tie::IxHash;
use strict;
my $HoHoH = {};
tie %{$HoHoH->{$_}}, 'Tie::IxHash'
  foreach qw(alice john andy);
                                                                      
+          
# rest of code as above
# output:

alice
        aaaa    time = 20:00:00
        www     time = 22:00:00
        bbb     time = 25:00:00
 
andy
        xxx     time = 24:00:00
        yyy     time = 26:00:00
 
john
        ccc     time = 21:00:00
        aaa     time = 23:00:00
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Also, I suggest that you use strict;, as your original code had the following (lines three and four) which refer to different variables:

# global %HoHoH
tie %{$HoHoH{text}}, 'Tie::IxHash';

# lexical $HoHoH (reference)
my $HoHoH = {};
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strict will catch this at compile time:

Global symbol "%HoHoH" requires explicit package name at /tmp/1.pl lin
+e 4.
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Your code ties a different variable than you were using everywhere else in your code. In addition, the key "text" that points to the inner hash stored in your global hash %HoHoH isn't used anywhere else.

Hope this helps.