Not really, I used to string for a D1 team and many of their racquets got restrung weekly. I think it came out to about 15-20 times per semester per racquet (most of them would rotate 3 racquets).
They never noticed any change in feel or racquet performance, and they would use these racquets for 2 years at a time. I personally have racquets that have been strung well over 70 times and they still play great...
Geez my new frames see that in the first few weeks whilst I am experimenting with string and tension. I continue using the ones I like well into the hundreds of restrings.
Yeah, seems to be general agreement on this topic (shocking, really). I probably get my frames strung 10-15 times a year. And they are all 6-8 years old. So you do the math. They all still work great, by the way.