The Times - Cryptic - Times Quick Cryptic No 1580

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Clues Answers
Awfully big lie — one fired with yen for fitness ELIGIBILITY
Bloodsucking insect’s low around sierra desert MOSQUITO
Cheapest way to travel is always poetically in coach STEERAGE
Church ceremony set down on paper for reading out RITE
Four cardinals making the headlines NEWS
I had sex appeal to ensnare old fool IDIOT
Jumper displayed in foie gras shop, perhaps GRASSHOPPER
Millions beg for protective cover MASK
One minding children of girl in New York NANNY
One who praises figures I work on some time afterwards IDOLATER
One who’ll stage a play and record it when running DIRECTOR
Perhaps sexist one when in bed BIASED
Clues Answers
Sole broken by hard beach stones SHINGLE
Son isn’t a good man SAINT
Songbird’s quiet after American’s finished THRUSH
Sort of blue extreme Republican in New England state ULTRAMARINE
Stab at one by going mad BAYONET
Stock English joke EQUIP
Strangely put into uncommon ecstasy RAPTURE
Stumbles around beach regularly twisting muscle TRICEPS
Supply a learner driver that’s qualified PROVISIONAL
Textile worker set up in Surrey docks DYER
What reduces impact of broadcast carrier air bag
Where huskies may be used to decorate hat ICECAP