A transaction on the Abelian chain needs at least 3 blocks to fully arrive. The average block time is 265 seconds, so 3 blocks take about 13 minutes 15 seconds on average. Please treat this as a reference only, not as a minimum or guaranteed arrival time, because actual block times are random and can be faster or slower.
A full swap also includes other processing steps, so you cannot simply count 13 minutes 15 seconds from the moment you send your funds. The best way to follow along is to check your order and block confirmation progress in the app.