It can measure me a half of bitter (5)
I believe the answer is:
meter
'it can measure' is the definition.
The definition suggests a singular noun which matches the answer.
'me a half of bitter' is the wordplay.
'a half of' suggests halving the letters.
'bitter' halved is 'ter'.
'me'+'ter'='METER'
Can you help me to learn more?
(Other definitions for meter that I've seen before include "Device for recording, say, usage (5)" , "Measuring device as for electricity consumption" , "Gauge" , "Instrument for measuring quantity" , "Measuring device as for electricity usage (5)" .)