All answers begin with 'con'

-1. Con + horse's home = Police officer (chiefly British)

2. Con + great search = Something one is trying to conquer

3. Con + system of knowledge based on truths = Sense of right and wrong

4. Con + diplomacy = (Physical) touching

5. Con + curse; swear = Cause to become unconscious (by hitting on the head)

6. Con + sensitive (to pain) = Competitor

7. Con + one person's account (of an event) = Change (from one form to another)

8. Con + Greek island = Solid; palpable

9. Con + discovered = Astonish; stupefy

-10. Con + unemployment benefit (British) = Express sympathy (with)

10. Condole

Thanks Rog, and a Happy Birthday.

1. constable

Good one.