Green’s Dictionary of Slang

(W.I. Rasta) a stump; usu. attrib. or descriptive in compounds.

1907		‘Old Lady & the Jar’ in W. Jekyll Jam. Song and Story 137: A old lady have two sons, one name Dory Dun an’ one name Tumpa Toe. [...] Notes. Tumpa, stump. A man who has lost his arm is called a tumpa-hand man.
1942		L. Bennett ‘Merry Christmas’ in Jam. Dialect Poems 51: Fan tumpa-toe bwoy bring one hundred / Pouns from ’Merica.
1950		Bennett, Clarke & Wilson Anancy Stories and Dialect Verse 72: It you go a tump-a-foot dance, you must dance tump-a-foot. Tump-a-foot – wooden peg-leg. (i.e. Dance in a tump-a-foot way so as not to hurt their feelings).