This is a double definition - the clue contains two separate meanings that both lead to the same answer word.
Look for a 6-letter word that can mean both 'hand over' (as in give or provide) and 'thin coat' (as in a layer applied to a surface). Both phrases in the clue are complete definitions of the same word.
Answer: RENDER | Double definition: 'render' means both to hand over/give and to apply a thin coat (like plaster render on a wall).