Here are some words that rhyme with "cheer" according to the search results:

• Near rhymes: persevere, chir, financier, emir, premier, veneer, appear, austere, sincere, and many more.
• Perfect rhymes: beer, clear, dear, fear, hear, near, peer, and queer, among others.
• Other rhymes: sneer, leer, sear, dear, gear, jeer, mere, pier, and more.

Note that some of these words may not be perfect rhymes, but they are close enough to be considered near rhymes.