First, don't get confused with the name of the app, it is COINOMI not Iconomi. Just remember that you have an access in your wallet and coins/tokens as long as you have the recovery phrase in you. If you lose it, you can't recover the funds. If you're still afraid, then move your funds to another wallet.
This might help somehow :
HOW TO - Send ETH or Tokens from Coinomi using MYETHERWALLETYour tip is really awesome. So I got back my purchased tokens, that I baught on InApp purchase on coinomi. I didn't know the name anymore. I knew, that I own private key, but had no idea to simply import it to myetherwallet
Edit: I sent you 2 merits because of your helpful advice. Would have sent you more, but I am very limited with merits.