Cord in grip used for a short whip (6,4)

I believe the answer is:

riding crop

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

'short whip' is the definition.
'riding crop' can be an answer for 'whip' (I've seen this before). I am not certain of the 'short' bit.

'cord in grip used' is the wordplay.
'used' indicates anagramming the letters.
'cord'+'in'+'grip'='cordingrip'
'cordingrip' is an anagram of 'RIDING CROP'.

'for a' acts as a link.

Can you help me to learn more?

(Another definition for riding crop that I've seen is " Whip up".)

I've seen this clue in the Sydney Morning Herald.

Want a hint initially instead of a full solution? Install my app