The speakers buzzing just before getting a SMS text is the closest I’ve gotten to predicting the future.
According to Wikipedia (if I understood it correctly), the interval between the start of one transmission and the next one is 4.615 ms, or 9.230 ms for half-rate, which corresponds to 217 Hz or 108 Hz (if I did the calculations right), well within audible range.
Newer cellular standards use CDMA or OFDMA instead of TDMA, so they do not have that same low-frequency on-off behavior.
When we are on Teamspeak/Mumble with friends, we can always tell who will be receiving a text in the coming seconds; I assumed the headset wires were acting as an antenna and catching the SMS radio signal.