Carry little one home finally (4)
I believe the answer is:
tote
'carry' is the definition.
(toting is a kind of carrying)
'little one home finally' is the wordplay.
'little one' becomes 'tot'.
'finally' suggests the final letters.
The final letter of 'home' is 'e'.
'tot'+'e'='TOTE'
(Other definitions for tote that I've seen before include "Haul, carry" , "It takes bets for horse races" , "move" , "hump" , "Carry - betting system" .)