I get opened, hit on, alot based on it.
If they ask me how tall i am.... I make up some BS answer like 5'10" or something....throw it out there...they smile and say 'nuh uh..." and then i tell them real height and move on in the conversation. If they compliment me, i say thank you and move on. That's just an all around important social skill...to be able to accept a sincere compliment, say thank you, and just move on, and not scramble to find some compliment back to the person.
Bottom line is a) the topic of my height is BORING to me. It's the AFC opener for women, similar to chodes giving the same old compliments to a HB, who's heard the same opener all night, don't waste your time. As a guy in the reverse situation, it's our job to help these AFC ladies past their lame openers.
As others said, don't fall back into feeling need to compliment her...just move things along.