As others have said the micro:bit is very low on memory - there's 3.6kB of memory for code and data - so the amount of logging you can do is quite small. However you could still do some useful things with it - especially as if you're saving just the time you're probably not going to end up saving more than 20 or so entries.
Espruino is a JavaScript interpreter for low-power Microcontrollers. This site is both a support community for Espruino and a place to share what you are working on.
Yes. In fact this is almost exactly what you want I think - including export to CSV (well, tab-separated): http://www.espruino.com/Data+Collection#simple-example
As others have said the micro:bit is very low on memory - there's 3.6kB of memory for code and data - so the amount of logging you can do is quite small. However you could still do some useful things with it - especially as if you're saving just the time you're probably not going to end up saving more than 20 or so entries.
Hope that helps!