Mitsubishi Repair: eagle summit DL 2.4 2wdr 1992, eagle summit, starter relay

Question
engine starts perfectly and after couple seconds and audible click under passenger side of dashboard cuts off.

Answer
Jimmy,
That click may be the starter relay disengaging.  If you're not noticing any starting or performance issues after the click is heard, you should be alright.  But make note of any starting or idling problems that may arise.  Other than that, you should be ok.
Good luck!