Handiwork rhymes with:
artwork, beadwork, brushwork, casework, clockwork, earthwork, fieldwork, firework, footwork, framework, groundwork, guesswork, hardwork, homework, housework, latticework, leadwork, legwork, masterwork, metalwork, needlework, network, openwork, paperwork, patchwork, piecework, plasterwork, roadwork, schoolwork, spadework, teamwork, voicework, wallwork, waterwork, woodwork
Handiwork sounds like:
handers, handrich, handros, handwerk, hendrich, hendrick, hendricks, hendrik, hendriks, hendrix, hendry's, hendryx, hinders, honderich, honduras, hunter's, hunters, huntress