Alaçatı's Saturday market is the town at its most useful: vegetables, herbs, olives, cheese, textiles, and the steady bargaining rhythm that can disappear from the boutique streets. It is busy, but it gives the town a local pulse.
Go in the morning if you care about food more than souvenirs. The herb stalls are especially good, and they explain a lot about the green-heavy Aegean cooking served in the town's restaurants.