Quickly climb salad plant (6)

I believe the answer is:

rocket

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This could be a double definition.

'quickly climb' is the first definition.
'rocket' can be an answer for 'climb' (thesaurus). I'm not certain of the 'quickly' bit.

'salad plant' is the second definition.
(I've seen this before)

Can you help me to learn more?

(Other definitions for rocket that I've seen before include "Firework - sharp lecture" , "Projectile firework" , "Self-propelled firework or missile" , "A slangy reprimand or a firework" , "In salad it's prepared" .)

I've seen this clue in The Telegraph.

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