Oozing blood, Republican runs into AE (4)

I believe the answer is:

rare

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'oozing blood republican runs into ae' is the definition.
I can't judge whether this definition defines the answer.

'republican runs into ae' is the wordplay.
'republican' becomes 'R' (abbreviation).
'runs' becomes 'r' (cricket abbreviation).
'into' is an insertion indicator.
'r' inserted inside 'ae' is 'are'.
'r'+'are'='RARE'

Can you help me to learn more?

(Other definitions for rare that I've seen before include "like gold dust" , "Exceptional" , "few and far between" , "not dense" , "Seldom seen or met" .)

I've seen this clue in The Times.

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