Honest priest found in cocktail bar by Luddite extremists (8)

I haven't cracked this one yet — but the brilliant team at Fifteensquared have:

ELI (Biblical “priest”) inside RAB, plus extreme letters from L-uddit-E I think RAB as an anagram of “bar”, with “cocktail” as a hint at ‘mixing’ RAB could also be a reversal of “bar” – if “cock” can be read as in turn or lift, with tail referring to the bottom end of the word