ICONOMI is currently working on three projects.  First is a "platform" now under development where anybody can start a "fund" that others can invest in.  New fund managers will pay fees to list their fund on the ICONOMI platform.  Second is an index fund called ICN.Index run by ICONOMI itself on a basket of existing cryptocoins.  Third is another ICONOMI-run fund investing in new cryptocoin ICOs and startups called ICN.Performance.  If you own ICN tokens, you get a share of any profit received by ICONOMI from all three of these projects.  Profit shares are "dividends" that are paid weekly to your ICN account as ETH deposits starting in early 2017.  

Note that if your ICN is on an exchange, the exchange gets the dividends.  Whether that exchange will pass weekly ICONOMI dividends on to you is an open question.  This is a big reason for people to minimize the amount of ICN on exchanges, which should make ICN more scarce on exchanges, and therefore command a higher price as an investable zero-inflation token.