Clue: Government's wrong about working — you're not, if you have to do this (4,2)
Answer: SIGN ON
Explanation: Definition: you're not, if you have to do this
G in SIN + ON (working). For non-British solvers, to sign on is to register for the dole/unemployment benefit/Jobseeker's Allowance/whatever comes next on the Euphemism Treadmill.