To tame a compy the easy way (simplest):

1) get 99 narcotics.

2) get a fast flying dino.

3) find a compy.

4) kill the other compys.

5) slingshot the compy one time(s).

6) give the compy narcotics and two piles of raw prime meat.

7) you have a compy!

8) be careful for how cute it is.

9) enjoy your compy!!!