All answers begin with pro.

-1. Pro + take as one's own = Declare (publicly) 8 letters

2. Pro + channel (often for air) = Manufactured article. 7

3. Pro + make = Reproduce. 9

4. Pro + behind time = Elongated (when referring to a spheroid). 7

5. Pro + situation; locale = Suggestion; recommendation. 11

6. Pro + movement = Upgrading; advancement. 9

7. Pro + electrical safety device = Prolific; abundant. 7

8. Pro + healthy = Financial gain. 6

9. Pro + farm vehicle = Angle-measuring instrument. 10

10. Pro + one thousandth of a kilogram = TV or radio show. 7

1. Proclaim

Merci.

2 - product