Today, both clues of the week are from Kropotkin crossword 998: both provide interesting examples of the vagaries of the English language! They also illustrate Kropotkin’s tendency to write clues which rely on obscure and archaic words…
1A: “It is eaten by large reptile” – a brain-twisting dilemma (11)
IT is eaten by (ie included in) CROCODILE. Pretty straightforward, and the definition is indeed a type of insoluble dilemma known to students of philosophy. There is the potential for confusion here, as the mineral crocidolite (which has a completely different derivation and pronunciation) is sometimes misspelled as crocodolite. Neither are words in common use!
27A: One living with someone won’t be dressed in acton unfortunately (10)
‘One living with someone’ is the definition. ‘Won’t’ is very misleading – it should be read ‘wont’ which is a synonym for ‘habit’. SO HABIT is included (‘dressed’) in an anagram (‘unfortunately’) of ACTON. Note that ‘acton’ is an archaic word for an item of clothing as suggested by ‘dressed’.