Incompatible staff given role following appeal (5,5)

I believe the answer is:

poles apart

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'incompatible' is the definition.
(I've seen this before)

'staff given role following appeal' is the wordplay.
'staff' becomes 'pole' (I've seen this before).
'given role' becomes 'part' (eg a part or role in a film. I am not sure about the 'given' bit.).
'following' means one lot of letters go next to another.
'appeal' becomes 'SA' (old-fashioned abbreviation for sex appeal).
'part' after 'sa' is 'sapart'.
'pole'+'sapart'='POLES APART'

Can you help me to learn more?

(Other definitions for poles apart that I've seen before include "Having widely divergent opinions" , "with widely differing views" , "some Europeans?" , "Completely different" , "Incompatible" .)

I've seen this clue in The Times.

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