The most common and most likely answer to this crossword clue is the 7 letter word FIREDOG
I've seen this crossword clue in The Daily Telegraph
F
I
R
E
D
O
G
More clues leading to the result FIREDOG
- Tree gathering inspired by say branch supporter
- Log-keeper dismissed, log not started
- Stand in lounge in awful daze, as Spooner has it
- Supporter keeping log to stimulate setter perhaps
- Implement put in say under wood — that’s 17 Down?
- As hot home supporter, turn up, excited to begin with
- Log support to sack scoundrel
- Get rid of nasty person’s hot supporting piece?
- Displeasure died in dull bar offering support
Buddy explains!

The straight part
We know that "hot supporting piece" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case hot supporting piece = firedog.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does FIREDOG mean?
FIREDOG noun- A Bronze Age artifact used in worshipping either bulls or the moon, or as a holder for wooden logs to be used in a fire altar.
- (chiefly US) Either of a pair of horizontal metal supports for holding logs in a fireplace