• fill the bill
• fit the bill
• foot the bill
• old bill
• pad the bill
• have one's fill
• boot hill
• grass is always greener on the other side of the hill
• if the hill will not come to Muhammad, Muhammad will go to the hill
• over the hill
• at the kill
• dress to kill
• dressed fit to kill
• in at the kill
• gin mill
• run of the mill
• through the mill
• bitter pill
• poison pill
• take a spill
• heart stand still
• hold still
• have one's hand in the till
• in the till
• up until
• at will
• of one's own free will

• take the fifth
• agree with
• alive with
• be on the outs with
• bear with
• begin with
• bound up with
• break with
• cast in one's lot with
• cast one's lot with
• charge with
• check with
• chum around with
• come down with
• come out with
• come to grips with
• come up with
• deal with
• do away with
• do with
• done with
• faced with
• fall in with
• fiddle with
• fit in with
• fix someone up with
• friends with
• get away with
• get carried away with
• get in touch with
• get in with
• get involved with
• get something over with
• go all the way with
• go hard with
• go through with
• go with
• have a nodding acquaintance with
• have a way with
• have a word with
• have an affair with
• have done with
• have nothing to do with
• have to do with
• in accordance with
• in cahoots with
• in line with
• in with
• keep in touch with
• keep step with
• keep up with
• leave word with
• level with
• make away with
• make free with
• make haste with
• make it with
• meet up with
• meet with
• mop up the floor with
• out of line with
• over and done with
• over with
• part with
• play around with
• play cat and mouse with
• play hob with
• put up with
• raise havoc with
• reckon with
• room with
• run away with
• saddled with
• shack up with
• shot through with
• side with
• sit up with
• sit with
• sleep with
• spar with
• square oneself with
• stand in with
• stand up with
• stay with
• stick with
• stuck with
• take a hard line with
• take issue with
• take up with
• tamper with
• team up with
• the hell with
• together with
• touch base with
• walk off with
• what with
• wipe the floor with
• wipe up the floor with
• wreak havoc with

One-syllable words do not have mosaic rhymes.