Compositeness bounds put the suppression scale of flavor-conserving higher-dimension operators at up to ~3 TeV; exchange of a (4+n)-dimensional graviton between electrons induces an operator ~ (n+2)^2 E^2/M_I^4 (psi-bar psi)^2, safely small for M_I above ~1 TeV given that the four-electron vertex was measured accurately only to ~100 GeV.