The cheek, getting one to swim to the ship! (7)
I believe the answer is:
galleon
'the ship' is the definition.
(type of ship)
'the cheek getting one to swim' is the wordplay.
'the cheek' becomes 'gall' (both can mean outrageous behaviour).
'getting' means one lot of letters go next to another.
'to swim' indicates anagramming the letters.
'one' with letters rearranged gives 'eon'.
'gall'+'eon'='GALLEON'
'to' is the link.
(Other definitions for galleon that I've seen before include "Large old sailing vessel" , "Large Spanish sailing ship of yore" , "Old Spanish ship" , "Spanish treasure ship" , "Trader" .)