Show support for a short while (6)

I believe the answer is:

second

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This could be a double definition.

'show support' is the first definition.
'second' can be an answer for 'support' (eg to second an idea is to support it). I'm unsure of the 'show' bit.

'short while' is the second definition.
(I've seen this before)

'for a' acts as a link.

Can you help me to learn more?

(Other definitions for second that I've seen before include "additional > support" , "Unit of time - after No 1" , "Position of runner-up" , "jiffy" , "A boxer's corner assistant - not the first" .)

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

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