Times Cryptic Jumbo 1378

[NeilMunro]

Very grateful for all help with these clues please.
1ac: “Being a good husband to Verity? Or less than faithful? (10, 4,3,5).”
19dn: “The latest, if far from the best, careers? (3,4,7,4).”
20ac: “Ghastly rotter claims to have pinched half of ours (10).”
34ac: “Novel keeping (at first) prose writer father in a job (6-6).”

[elliemay1]

34 Worker Priest

[elliemay1]

https://en.wikipedia.org/wiki/Worker-Priest

[Lie-in King]

1a Economical with the truth
19d Bad news travels fast
20a Cadaverous - 'ou(rs)' (half, in) 'cad' + 'avers' (claims)
34a Worker-priest - anag 'k(eeping; first) prose writer'