Aioli is essentially a fancy garlicky mayonnaise used as a dipping sauce for many fried foods. Here is a favorite of mine:
1/2 C mayonnaise
1 canned chipotle chile in adobo
1 clove garlic
1/2 lemon, juiced
pinch of salt
Combine all ingredients in a food processor for about 1 minute. Let sit in the fridge to allow flavors to marry. Serve as a dipping sauce for any fried seafood or fried potato wedges.