Why do you want it to be shorter? Does is really matter?
$variable = $1 if $variable =~ /(find something).*/;
If you are worried about the variable name or doing this repeatedly, wrap the thing in a subroutine and forget about it:
some_sub( $variable, qr/pattern/ );
sub some_sub { $_[0] = $1 if eval { $_[0] =~ m/$_[1]/ }; $1 };
However you implement it, the point of the subroutine is to make it reuseable so you give a particular set of lines a short name that stands in their place.
Several other answers mention a destructive substitution:
( my $new = $variable ) =~ s/pattern/replacement/;
I tend to keep the original data around, and Perl v5.14 has an /r
flag that leaves the original alone and returns a new string with the replacement (instead of the count of replacements):
my $match = $variable =~ s/pattern/replacement/r;