To get a slice starting with an array reference, replace the array name with a block containing the array reference. I’ve used whitespace to spread out the parts, but it’s still the same thing:
my @slice = @ array [1,3,2];
my @slice = @ { $aref } [1,3,2];
If the reference inside the block is a simple scalar (so, not an array or hash element or a lot of code), you can leave off the braces:
my @slice = @$aref[1,3,2];
Then, if you want a reference from that, you can use the anonymous array constructor:
my $slice_ref = [ @$aref[1,3,2] ];
With the new post-dereference feature (experimental) in v5.20,
use v5.20;
use feature qw(postderef);
no warnings qw(experimental::postderef);
my @slice = $aref->@[1,3,2];