Times Jumbo 1063

[cashier]

35dn Supposed nerve reporting little Hertfordshire town in the Chilterns (5,6)

H???T ?T?I??

1ac Manage to keep down an American roll and glass of beer consumed (9) no letters -sorry

2dn Don't purchase delicious food it's reported some fan cooked up - certainly not (2,2,6,2,5) no letters - sorry

Thanks in advance

[JMR27]

Heart string (Herts Tring)
Subjugate (US roll = sub + glass of beer = jug + consumed = ate)
By no manner of means (sounds like buy no manna + anagram 'some fan')