Crossword Genius

Small set of wheels carried on a cycle (9)

Ross

I believe the answer is:

runaround

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'small' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'set of wheels carried on a cycle' is the wordplay.
'set of wheels' becomes 'run' (I can't justify this - if you can you should give a lot more credence to this answer).
'carried' says to put letters next to each other.
'on' is a charade indicator (letters next to each other).
'cycle' becomes 'round' (going round once).
'run'+'a'+'round'='RUNAROUND'

Can you help me to learn more?

(Other definitions for runaround that I've seen before include "small car" , "deception" .)

I've seen this clue in The Times.
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