Ten fetters in saṃsāra during meditation
The 10 fetters are destroyed by reaching the different stages of enlightenment.
Meaning the Sotāpanna gets rid off the first three fetters; the fourth and fifth are weakened by the Sakadāgāmi and completely destroyed by the Anāgāmī.
Fully free of all the fetters is the Arahant.
See http://www.palikanon.com/english/wtb/s_t/samyojana.htm) for a short list.

I'm not sure what you mean by the chain of fetters. Could you specify this?
Anyway, yes the fetters can be seen/experienced during vipassana meditation.