After asking for advice, and receiving plenty of good advice, I attempted to remove the scotch tape. It peeled right off as though it had been applied yesterday. I was astounded! The veneer was in a sealed envelope dated 1980 and was yellowed enough to lend credence to that. I can't believe the tape lasted that long.
Anyway, no residue. I just need to flatten the veneer and reapply it.
John