A lot of good information on the risks of using encrypted
storage, on handling problems and on security aspects can be
found in the Cryptsetup FAQ. Read it. Nonetheless, some risks
deserve to be mentioned here.
Backup:
Storage media die. Encryption has no influence on that.
Backup is mandatory for encrypted data as well, if the data has
any worth. See the Cryptsetup FAQ for advice on how to do a
backup of an encrypted volume.
Character encoding:
If you enter a passphrase with special
symbols, the passphrase can change depending on character
encoding. Keyboard settings can also change, which can make blind
input hard or impossible. For example, switching from some ASCII
8-bit variant to UTF-8 can lead to a different binary encoding
and hence different passphrase seen by cryptsetup, even if what
you see on the terminal is exactly the same. It is therefore
highly recommended to select passphrase characters only from
7-bit ASCII, as the encoding for 7-bit ASCII stays the same for
all ASCII variants and UTF-8.
LUKS header:
If the header of a LUKS volume gets damaged, all
data is permanently lost unless you have a header-backup. If a
key-slot is damaged, it can only be restored from a header-backup
or if another active key-slot with known passphrase is undamaged.
Damaging the LUKS header is something people manage to do with
surprising frequency. This risk is the result of a trade-off
between security and safety, as LUKS is designed for fast and
secure wiping by just overwriting header and key-slot area.
Previously used partitions:
If a partition was previously used,
it is a very good idea to wipe filesystem signatures, data, etc.
before creating a LUKS or plain dm-crypt container on it. For a
quick removal of filesystem signatures, use "wipefs". Take care
though that this may not remove everything. In particular, MD
RAID signatures at the end of a device may survive. It also does
not remove data. For a full wipe, overwrite the whole partition
before container creation. If you do not know how to do that, the
cryptsetup FAQ describes several options.