Well you asked the community but the best one to answer is really the one who sells the device to you. @Gordon here or even Adafruit or whoever sells them - table of sellers here http://www.espruino.com/Order#puckjs
Thank you very much for your kind reply and the answer.
I wrote an email to "contact@espruino.com" 1 or 2 weeks ago. But, I haven't received an answer yet. Therefore, I posted here.
Espruino is a JavaScript interpreter for low-power Microcontrollers. This site is both a support community for Espruino and a place to share what you are working on.
Well you asked the community but the best one to answer is really the one who sells the device to you. @Gordon here or even Adafruit or whoever sells them - table of sellers here http://www.espruino.com/Order#puckjs
AFAIK the normal non-lite Puck.js is based on Raytac MDBT42Q module https://www.raytac.com/product/ins.php?index_id=31 see also photos here http://www.espruino.com/Puck.js#pinout so any certification that Raytac got for the module is valid for PuckJS too. That is also why such easy to use generic modules exist - to avoid the need of another certification. For US the info is here https://fccid.io/SH6MDBT42Q
For the lite version it is much more interesting as this is custom PCB.
That was the hardware. As for Bluetooth software there is also certification/qualification of the Bluetooth stack, Espruino uses standard Nordic SoftDevice and Nordic keeps qualification ids in table here
https://infocenter.nordicsemi.com/topic/comp_matrix_nrf52832/COMP/nrf52832/ble_qdid_qual_matrix.html?cp=5_2_3_4
Espruino uses S132 SoftDevice version 3.x so QDID is 85568
https://device.report/bluetooth/14827
When checking the shop page https://shop.espruino.com/puckjs I don't see certification info there. It could be useful indeed to have something there.
However there is something here http://www.espruino.com/Puck.js#information - it links http://www.espruino.com/files/Puck.js-CE.pdf
And https://www.espruino.com/datasheets/MDBT42Q-E.pdf mentions certifications too.
Take this as a community member answer :-)