Construction has somewhat started as areas adjacent to the pool have been closed off. With that being said though, true pool construction wont begin until the 7th and most likely will be fully underway come April.
The only people who should be directly affected by construction noise (which could very well be jackhammering, etc) would mostlikely be those eating on the Marina side of OPR and those in Building 31 of Trinadad North. If you booked a preferred room, ask to be placed in Martinique at check-in to avoid walking past the construction each day.
I believe I read that they have closed the side walk that used to lead from Trinadad North and South to OPR due to the Construction and therefore have re-routed people through the parking lot. I guess in terms of that, my suggestion would be to to avoid those two villages.
I can't suspect that youll find too many issues in any other villages though. Walking from Jamiaca and Aruba during day time hours may be noisy as you get close to OPR crossing the bridges, but I doubt you'll hear anything from that side of the lake.
Keep in mind that Disney will only hold construction during day time hours. If it was me in this situation I request a room in Aruba or Jamaica due to the easy access to OPR and a child slide being added to Jamiacas pool during construction. If I booked preferred, I'd try and get a room in Martinique.
If you are extremely concerned about the risk in noise level then I would try and move to another resort.