An injection, yes, with British capital (3)
I believe the answer is:
jab
'an injection' is the definition.
(I've seen this before)
'yes with british capital' is the wordplay.
'yes with' becomes 'ja' (I can't explain this - if you can you should give a lot more credence to this answer).
'capital' says to take the initial letters.
The first letter of 'british' is 'b'.
'ja'+'b'='JAB'
Can you help me to learn more?
(Other definitions for jab that I've seen before include "Injection" , "A short stiff punch" , "Poke roughly or inject" , "Prod" , "Short stiff blow or thrust" .)