The most common and most likely answer to this crossword clue is the 4 letter word TOED
I've seen this crossword clue in The Times
T
O
E
D
Buddy explains!

The straight part
We know that "Kick" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kick = toed.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 TOED mean?
TOED adjective- (chiefly in combination) Having (a specified number or type of) toes.
- To furnish (a stocking, etc.) with a toe.
- To touch, tap or kick with the toes.
- To touch or reach with the toes; to come fully up to.
- To fasten (a piece) by driving a fastener at a near-45-degree angle through the side (of the piece) into the piece to which it is to be fastened.
- To mishit a golf ball with the toe of the club.
- Having the end secured by nails driven obliquely; said of a board, plank, or joist serving as a brace, and in general of any part of a frame secured to other parts by diagonal nailing.