I've never seen any convincing evidence that Perot's entry in the race gave it to Clinton. Here are the comparison's of how the polls stood in early June of 1992, around Perot's high water mark, and how the final vote went.
June 4-8----- Perot 39%, Clinton 27%, Bush 31%
11/92--------- Perot 19%, Clinton 43%, Bush 37%
Poll June 4-8, 1992
Typo in #34. Clinton was at 25% in the June 4-8 poll.
June 4-8-—— Perot 39%, Clinton 25%, Bush 31%
11/92-——— Perot 19%, Clinton 43%, Bush 37%