The most common and most likely answer to this crossword clue is the 8 plus 5 letter word DRAINING BOARD
I've seen this crossword clue in The Daily Telegraph
D
R
A
I
N
I
N
G
B
O
A
R
D
More clues leading to the result DRAINING BOARD
Buddy explains!
The straight part
We know that "see me in the kitchen" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case see me in the kitchen = draining board.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.