I can probably give this an answer if I take it in the context of the 12 nidanas as a significant application of the principle of dependent origination.
The way that I have been taught this (within the Triratna Buddhist movement) is that the nidanas can and do break at the point between feeling and craving. So to give the chain at that point
With Contact as condition, Feeling arises
With Feeling as condition, Craving arises
With Craving as condition, Clinging arises
And around we go....
So for most of us most of the time when we have a feeling then the reaction is craving - each time, round and round. But with spiritual practice is is possible to break the cycle at this point and not have craving. It is at this point that liberation can start.
I suspect that up to here is will not be that controversial. But in Triratna we talk a lot about the spiral path at this point which spirals up to enlightenment - a kind of positive formation of the 12 nidanas. This is taken from the Upanisā Sutta.
But OPs question is about the Vipassana techniques around this. Although we have a system of meditation, the practice most relevant to this would be a just sitting or a noting practice where we notice the feelings arise and try to see that just as that - feelings. In that way we can see again and again that feelings are just feelings and of themselves do not have craving or desire as a neccessary part of them. Thus one day, with faith and perseverance the cycle breaks.
Another way into this might be with a mindfulness practice relating to the Satipatthana Sutta particularly with reference to the section on feelings.