Time dilation if we were to colonize outside our solar system?

I understand a little about special and general relativity. But how would another planet work. A star is a gravity well so it wont be exactly synced. Voyager probes depending on special or general is only a few seconds time difference to terrestrial clocks. So would it be the same in the gravity well to a star... show more I understand a little about special and general relativity. But how would another planet work. A star is a gravity well so it wont be exactly synced. Voyager probes depending on special or general is only a few seconds time difference to terrestrial clocks. So would it be the same in the gravity well to a star similar to ours?
Would a colony be able to communicate with earth in their same time frame with a difference of a few minutes to hours to days?
Or is it... everyone will be dead when you get back situation?
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