Squeeze Tentacles is the cousin of Squidward. His only appearance was in "Stanley S. SquarePants." In that episode, he was turned down from a job at the Krusty Krab like a few other relatives of some main characters. In "SpongeBob SquarePants Revenge of the Flying Dutchman", one of the things Squidward had in his yardsale was a beehive that he said his cousin gave him. (Which could of been another one of Squidward's non-mentioned cousins.)
Unlike most octopi with the shape or model of Squidward, he has a shorter nose. It also hangs straight. On his nose, there are pimples. He wears a brown shirt like Squidward. Although it hangs over his butt, and it doesn't have a collar. Technically, both he and Squidward are blonde as noted in "The Original Fry Cook."
It is possible that he has a similar attitude or personality. The only quote he ever said was "Whatever." He seems similar to a person who went to Woodstock in the 60's.