The program is safe for use ?
A good way to answer your question is to look at the various risks involved in using MultiBit (or any other Bitcoin wallet) and seeing what is being done to avoid or remove them.
There are two main risks in using Bitcoin:
1) You lose access to your private keys and hence cannot spend your bitcoin as you wish. You can pretty much avoid this by backups. MultiBit needs to be backed up every time you create new receiving addresses.
A good backup plan is to keep copies of your wallets on two separate USB drives and keep them safe.
2) Someone steals your bitcoin. To do this they need to get your private keys. I recommend keeping your wallets encrypted always (except maybe for a 'pocket change' wallet). It's a big area this but the main things you can do to help is :
+ Always download MultiBit from
https://multibit.org+ Keep your computer clean of viruses and malware.
If you have large amounts of bitcoin then you want to consider an offline solution or multisig. MultiBit does not have offline signing yet (Trezor support is how we want to do this) so for offline signing you would want to use Electrum or Armory. For multisig there are a few wallets supporting this but you'd have to evaluate these for yourself.