If $wonderFull is a package variable, you could do:

    {
        no strict 'refs';
        $temp = ${$var1 . $var2};
    }
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But you don't really want to do that.

The reason I want to do this is that I will have a large cgi script with many predefined open file handles. I want the user to select two values from pull down boxes on a web page and then by using these it will use the correct file handle. It could be done with lots of if statements but there must be a better way to do it?

If that is what you want, why didn't you just ask that? Now your question is of the form "How do I do X, because I want to do Y, and I might be able to do that with X". Better is to ask "How do I do Y?", because the answer is Z. And Z is "Use a hash". In your case, a 2 dimensional hash. The selected values will be the entries, and the filehandles (or rather, references to them), the values.

Abigail