In en-US, refuse (verb) is pronounced reh-fuse ("I refuse to do that."), while refuse (noun) is pronounced ref-use ("This refuse must be disposed of.") The accent switches syllables.
I'm en-us. It doesn't rhyme because they end with different consonants, but I pronounce 'refuse' exactly like 'refuge' (obviously changing the soft G sound to an S sound).
Ref-use: ref as in referee, use as in noose, or loose.
But then in en-gb we'd say "waste" or maybe "rubbish".