The dev team has hired security researchers to and are also themselves looking into the claims about mymonero.com. It could just be fud but they received enough complaints to look into it more deeply. For now though I would just avoid it to be safe. The hardware wallet will be here soon and it is supposed to only be $30 dollars. Using that and connecting to a remote node will be the way to go in the near future if you do not wish to run a full node.
I'm still waiting for the Ledger adding.
One of the only coins ledger has their own devs working on and its taking over 6 months.
Geezus...
Their best developer, what is sort of double-edged sword. Whenever developers that work on other Ledger projects hit on problems he get called to help them. And that had happened on at least 2 occasions while he was working on Monero integration and postponed his project for not only weeks but more then a month.