Initially take eminent supporter's part? (5)

I believe the answer is:

thigh

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'supporter's part?' is the definition.
'thigh' can be an answer for 'part?' (thigh is a kind of part). I'm not sure about the 'supporter's' bit.

'initially take eminent' is the wordplay.
'initially' indicates taking the first letters.
'eminent' becomes 'high' (synonyms).
The first letter of 'take' is 't'.
't'+'high'='THIGH'

Can you help me to learn more?

(Other definitions for thigh that I've seen before include "top of pin" , "Joint of meat" , "This bone is the femur" , "part of body" , "Femoral leg part" .)

I've seen this clue in The Telegraph.

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