Club on course, United for example going up (5)

I believe the answer is:

wedge

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'club' is the definition.
(type of golf club)

'on course united for example going up' is the wordplay.
'on' means one lot of letters go next to another.
'course united' becomes 'wed' (united in marriage. I am not sure about the 'course' bit.).
'for example' becomes 'e.g.' (short for 'exempli gratia', 'for example' in Latin).
'going up' is a reversal indicator (in a down clue, the letters are written upwards).
'eg' reversed gives 'ge'.
'wed'+'ge' is 'WEDGE'.

Can you help me to learn more?

(Other definitions for wedge that I've seen before include "Tapering piece" , "Splitting device" , "Chunk" , "It may cause division" , "Lofting golf club" .)

I've seen this clue in The Times.

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