Table partitioning in MYSQL Master Slave
The manual does not list a problem, but...

Statement Based Replication should not have any problem since the Slave simply re-executes the DML statement without knowing or caring (up front) about whether the table is partitioned.

Some rare statements are very likely to break replication:

SELECT ... PARTITION pnnn -- 5.6.2
ALTER TABLE -- to change PARTITIONs


Please comment on bug report if you find more issues.