The website Amateur Radio RF Safety Calculator can help calculate safe RF levels for various frequencies. The website uses formulas based on FCC guidelines. It requires knowing a bit more about the setup than you have provided in your question, but some reasonable assumptions can be made.
- 1 watt RMS power
- 100% duty cycle (meaning % time the radio is actually transmitting)
- Antenna gain no better than a common dipole
- A distance of 3 feet
- Frequency of 107.9 MHz
The setup is in compliance with FCC guidelines. In fact, for an "uncontrolled" environment (where no special consideration is made) you can get as close as roughly 1.4 feet.
Based on the frequency, I'm going to guess you are transmitting an FM signal. The FM mode has a 100% duty cycle when you are transmitting. If you were using another mode you would adjust the average power input by the duty cycle. The link above has details on this process at the bottom of the page.
The FCC guidelines (and as a result, the calculations on this website) are rather conservative. I probably wouldn't strap it to my head, but I wouldn't worry about it being on my night-stand.