There is a song of good old 80s, titled "take on me".
(The link is ' https://youtu.be/djV11Xbc914 ')


Q1) it repeatedly saying ;
- " take on me / take me on/ i'll be gone in a day or two"
---> what does 'take on me' exactly mean?.


Q2) On its beginning part, the lyric also says ;
- "we're talking away / I don't know what to say / i'm to say i'll say it anyway/ today is another day to find you shying away.../ i'll be coming for your love, ok?"

---> what does it mean??
(what is this guy saying, in over all?.)


Q3) Does what this singer sing sound vivid & clear enough to natives?.

Thank you.

It's common to use "take on" in reference to getting involved with something.

"I'm going to take on a gardening project this weekend."

"I'm going to take on more responsibilities at work."

It's somewhat unusual to use it in reference to a person/relationship. It is poetic and I believe you are correct in interpreting the meaning as "take a chance on me." But like Shakespeare, part of its charm is that it is not using everyday common language.

I loved that song, was playing constantly on MTV when I was in school. I had no idea that they were Norwegian until I read the link I gave you. Glad that I could help you out.