How did you "feel" it when you used the actual handset ? Did it get warm ? Getting warm is natural, and the heat transferred to your ear might make it seem like you're feeling RF (radio frequency), when you're actually not. I don't really know the term for it, but it's like when you feel ill, then you read symptoms of an illness, and they match yours and then you're so sure that's exactly what you have, but in reality, it's not.
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CDMA digital handsets these days are rated at 0.5 Watts of power, which is VERY low. Studies have claimed that people living under high voltage transmission power lines are more prone to cancer and other such diseases. Part of this has been believed to be the fact that large amounts of RF can negativly affect the immune system. However, more current studies have shown no link between RF and diseases such as cancer.
The table below shows the spectrum of where mobile phones are in the RF field. Note that the mobile phones that are being shown are 3 Watt analog phones, not the new 0.5 Watt digital phones.
The same idea applies to Bluetooth. The RF used for Bluetooth is even less than that of a mobile phone.
Now, even though I've given the facts, I will agree with you that cell phone RF could be dangerous to one's health. However, I also believe this would only be the case when there is absolute over-exposure to cell phone RF. For example, a real estate agent who uses their cell phone in excess of 4000 minutes a month.
To conclude, I feel that using a cell phone and being exposed to it's RF could harm one's health, if it's done in large excess. The same can be said about alcohol. A person who has a few drinks a week has no significant increased risk of sclerosis in the liver, whereas someone who gets drunk every night and abuses alcohol has a large chance of developing sclerorsis in the liver.
Like alcohol and many other things in life, moderation is the key. If you don't talk on your phone 4000 minutes a month, and you don't Bluetooth files 15 hours a day, everyday, then you should be perfectly fine.