The most common and most likely answer to this crossword clue is the 6 letter word FLOPPY
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More clues leading to the result FLOPPY
Buddy explains!

The straight part
We know that "Limp" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case limp = floppy.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 FLOPPY mean?
FLOPPY noun- A floppy disk.
- (Rhodesia) An insurgent in the Rhodesian Bush War, called as such for the way they "flop" when shot.
- A comic book.
- Limp, not hard, firm, or rigid; flexible.