We present recent results from CDF in the search for new
phenomena appearing in the top quark samples.  These results use data from
p anti-p collisions at s**(1/2) = 1.96 TeV corresponding to an integrated
luminosity ranging from 196 pb-1 to 760 pb-1.  No deviations are observed
from the Standard Model expectations, so upper limits on the size of
possible new phenomena are set.