### Clue: Mayan beheaded an old man round island resort (4,4)
### Answer: AIYA NAPA 
 ### Explanation: Definition: resort
 ["Mayan" **minus its 1st letter**(beheaded) + A(the equivalent of "an" for nouns not beginning with a vowel sound) + PA(informal term for one's old man;father) ] **containing**(round) I(abbrev. for "island").
Answer: Resort on the island of Cyprus. Is "Aiya" an alternative to "Ayia", which is the name given in the online references I've checked?