Unclued lights form four thematic pairs, one of which combines to form a single word.
 

Across

 
1    Working prophets allege they carry cables (14, two words)
10    Reptile in summer (5)
11    Jacket of lass in Alaska (6)
12    Problem in thatching started again (7)
16    Bones to bury beside ray-flowers (10)
20    Libertine close to fun river port (5)
21    Cross objector making wine … (7)
22    … measures pigeons losing height (5)
31    Although no longer tiddly sow enters house (5)
33    Perhaps cold Dumpynose will spit (7)
34    Copper is following about bad Ozzie (5)
35    Saints holding the Queen is right to expose blasphemers (8)
36    Uniformed PA abandoned idea...