Pig has time to pack (4)
I believe the answer is:
stow
'to pack' is the definition.
(I know that pack is the is a more specific form of the action of stow.)
'pig has time' is the wordplay.
'pig' becomes 'sow' (I've seen this before).
'has' means one lot of letters goes inside another.
'time' becomes 't' (abbreviation).
'sow' going around 't' is 'STOW'.
(Other definitions for stow that I've seen before include "Put away for storage" , "Deposit" , "Pack tightly" , "Fill by packing tightly" , "Pack (object) away" .)