It is called several different names. This is a very unusual plant and it will NOT  overwinter in this country. However if you take cuttings which I do and keep the small one going in the winter. I plant it out in the summer  and it will grow quite large. In a pot. Just take off a piece and put it in a glass of water until it roots. It can be grown indoors in a sunny place. 
Always grow Herbs in full sun. It can be used in exactly the same way as the normal Thyme.  Don't overwater.  
This is only a baby  I HAVE ONLY JUST POTTED IT UP. DONT MOVE UNTIL MORE ROOTS FORM. MAYBE SPRING.
   
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