Crossword Puzzle Did secret-agent work

Clue: Did secret-agent work

Do secret-agent work (INFILTRATE with 10 letters)
Work recounting Dido's suicide (AENEID with 6 letters)
Secret Service worker (AGENT with 5 letters)
Secret agent Leamas in "The Spy Who Came In From the Cold" (ALEC with 4 letters)
Didn't keep secret (BARED with 5 letters)
Didn't work that hard (COASTED with 7 letters)
Alias for a secret agent (CODENAME with 8 letters)
"The Secret Agent" author (CONRAD with 6 letters)
Secret agent's need (CONTACT with 7 letters)
Help for a secret agent (CONTACT with 7 letters)