I would imagine current limit goes up with frequency to a level. I do recall reading it somewhere but I cannot find it now. Is there anyone who is aware of such standards?
To the best of my knowledge, there are two main safety standards for safety levels with respect to human exposure to RF EM Fields;
One guideline is standardized by INTERNATIONAL COMMISSION ON NON‐IONIZING RADIATION PROTECTION (ICNIRP) which is an European standard, I guess, that provides guidelines "FOR LIMITING EXPOSURE TO TIME‐VARYING ELECTRIC, MAGNETIC AND ELECTROMAGNETIC FIELDS (UP TO 300 GHZ)" and you can find it here:
The other one is the IEEE standard called C.95 Standard with different revisions "IEEE Standard for Safety Levels with Respect to Human Exposure to Radio Frequency Electromagnetic Fields, 3 kHz to 300 GHz". You can find the latest revision here:
There are threshold limits for time-varying electric field that can initiate current flow in tissue. Also, there is ranges of threshold currents for indirect effects up to 100KHz on P.11 of ICNIRP standard.