Special tool for cutting small tree, if Ken is bothered (5,5)

I believe the answer is:

steak knife

I'm a little stuck... Click here to teach me more about this clue!

'special tool' is the definition.
'steak knife' can be an answer for 'tool' (steak knife is a kind of tool). I am unsure of the 'special' bit.

'cutting small tree if ken is bothered' is the wordplay.
'cutting' means to remove the last letter.
'small' becomes 'sm'.
'tree' becomes 'teak' (teak is a kind of tree).
'is bothered' indicates an anagram.
'sm' with its final letter taken away is 's'.
'if'+'ken'='ifken'
'ifken' with letters rearranged gives 'knife'.
's'+'teak'+'knife'='STEAK KNIFE'

'for' is the link.

Can you help me to learn more?

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.