So here is my input:
1. it's noisy and dusty but not as bad as when neighbours to side returns. Most of the work is underground so lets stuff flying around outside in the wind!
2. I'd video your house - there could be a lot of hairline cracks etc. Some people I know had to pay for their neighbours to have new wallpaper as it all ripped due to neighbours house shifting due to basement
3. keep on eye on dirt/dust on cars in the street. One neighbour of a friend (not of mine - I wish) asked the builders to wash all the cars of immediate houses every week due to dust
4. make sure party wall agreement is in place
5. make sure there is agreement on working hours - the digging out is noisy - you dob't want to be worken by it on Saturday
hope this helps