Clue: Cop it badly, after lie about fast connection (5,5)
Answer: FIBRE OPTIC
Explanation: Definition: fast connection
A charade of FIB ('lie') plus RE ('about') plus OPTIC, an anagram ('badly') of 'cop it'. I have not come across the answer as the noun that the clue seems to require, and as a adjective it is generally hyphenated; however, Wikipedia does redirect "Fibre Optic" to "Optical Fibre".