I agree, I typically just use BTC when typing.  However, I've heard many people use the word "bit" or "bits" in spoken conversations.

I just met with someone yesterday wanted to buy some bitcoins.  When we met up and I asked how much they wanted, they asked if the could buy 0.6711 bits.

I met with someone else last week that was selling bitcoins.  When we got together and I asked how much they were selling, they said they were hoping to get $1300 for 2.9 bits.