  Upper bounds on fundamental length are discussed that follow from the fact
that a magnetic moment is inherent in a charged particle in noncommutative (NC)
electrodynamics. The strongest result thus obtained for the fundamental lenth
is still larger than the estimate of electron or muon size achieved following
the Brodsky-Drell and Dehlmet approach to lepton compositeness. This means that
NC electrodynamics cannot alone explain the whole existing descrepancy between
the theoretical and experimental values of the muon magnetic moment. On the
contrary, as measurements and calculations are further improved, the
fundamental length estimate based on electron data may go down to match its
compositeness radius.
