  Let $p$ be an odd prime and let $B$ be a $p$-block of a finite group which
has cyclic defect groups. We show that all exceptional characters in $B$ have
the same Frobenius-Schur indicators. Moreover the common indicator can be
computed, using the canonical character of $B$. We also investigate the
Frobenius-Schur indicators of the non-exceptional characters in $B$.
  For a finite group which has cyclic Sylow $p$-subgroups, we show that the
number of irreducible characters with Frobenius-Schur indicator $-1$ is greater
than or equal to the number of conjugacy classes of weakly real $p$-elements in
$G$.
