Piece of burning coal used for three months (5)

I believe the answer is:
ember
'piece of burning coal' is the definition.
'ember' can be an answer for 'coal' (synonyms). I'm not sure about the 'piece of burning' bit.
I can't explain the remainder of the clue.
Can you help me to learn more?
(Other definitions for ember that I've seen before include "Wood still burning" , "Glowing remainder of a fire" , "Remnant of bonfire" , "Just a glimmer" , "something that glows" .)
