Speaking like this is slang, and used in colloquial English. Examples of "get/got" depend on present or past tense. "I get it." / "I get you" is present tense. "I got it." / "I got you" is past tense, but people often say it while referring to present tense. We don't exactly use "catch" you. But instead we could say something like: "I catch your drift." - present tense. It means "I understand what you're saying" "I caught what was going on" - past tense. It means "I understand what happened"

Dear Chris, Could you explain why present tense doesn't work in those dialogues ? ---- Dear Marlana, You meant both " I get you " and " I got you " are correct in those dialogues ? Thank you all ^_^

Chris, "I get you" is present tense and can work for this example of slang.

No. Present tense doesn't work.