Welcome Pietras!
Yes, Ableton Live has a limit to how small of a sample you can cut. To carve out a smaller sample, download the free software Wavosaur. You can use that to cut samples all the way down to single data samples. You might have to bounce your original sample to a .wav file to open it in Wavosaur, but from there you can crop it down as small as you like, save it with a new name, and then just drag and drop your new sample into Live.
I've been using it for months to make tiny samples for glitch effects and wave samples for scanner-type synths (like Enzyme). Super easy to use.
You can download it here:
http://www.wavosaur.com/