The unclued lights (one of two words — ignore its accent) are of a kind.
 

Across

1    I’m the proctor, circulating and turning away from the heat (12)
10    Stone, almost black, with one diamond inside (4)
12    Moonlight escape around river turning into a brief liaison (10)
14    Leader of Indians accepting thanks for miriti palm (3)
17    Architectural style representative of its time chapter omitted (5)
18    Macbeth’s query about his status, it would seem, is a gas (7)
19    Classify love-boat reflected in painting (6)
24    Office work nowadays managed at first at home (5)
26    Party with star prize (9) …
29    … New star, a Jamaican? (5)
31    Alice Cooper,...