Ship's padre meets lad at sea (6,7)
I believe the answer is:
paddle steamer
'ship's' is the definition.
(paddle steamer is a kind of ship)
'padre meets lad at sea' is the wordplay.
'at sea' indicates an anagram.
'padre'+'meets'+'lad'='padremeetslad'
'padremeetslad' anagrammed gives 'PADDLE-STEAMER'.
(Other definitions for paddle steamer that I've seen before include "Type of ship" , "Mississippi boat?" , "vessel" , "Ship propelled by bladed wheels" , "River boat, for example" .)