Take responsibility for transporting the paint? (5,3,3)
I believe the answer is:
carry the can
'paint?' is the definition.
I don't know anything about this answer so I cannot judge whether this works.
'take responsibility for transporting the' is the wordplay.
'take' becomes 'carry' ('carry' can be a synonym of 'take').
'responsibility' becomes 'can' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'for transporting' indicates putting letters inside (a word carries or transports a set of letters).
'carry'+'can'='carrycan'
'carrycan' going around 'the' is 'CARRY THE CAN'.
(Other definitions for carry the can that I've seen before include "Take the blame" , "Take responsibility (for mistake) (colloq.)" , "Take responsibility for a misdeed" , "accept responsibility for" , "Take responsibility for misdemeanour" .)