Fermion compositeness and other new physics can be signalled by the presence
of a strong four-fermion contact interaction. Here we present a study of
ℓℓqq and ℓℓℓ′ℓ′ contact interactions using the
reactions: ℓ+ℓ−→ℓ′+ℓ′−,bbˉ,ccˉ at future
e+e− linear colliders with s=0.5−5 TeV and μ+μ− colliders
with s=0.5,4 TeV. We find that very large compositeness scales can be
probed at these machines and that the use of polarized beams can unravel their
underlying helicity structure.Comment: 12 pg, to appear in the {\it Proceedings of the 1996 DPF/DPB Summer
Study on New Directions for High Energy Physics - Snowmass96}, Snowmass, CO,
25 June - 12 July, 199