Hi Twm.
'egocentric' is right. 'self-satisfied' not right, but 'self-
c??????' would be ('c' from 15d).
9 ... "Lie
?????" if you don't want to be seen (just like a man's best friend).
11 ... Just a reminder that 'N' represents a knight in chess; you can work back from there, I think.
18 ... Care of Daily Telegraph.
JimC