Good morning,

Assuming that there are no problems requiring TER Admin to ask the reviewer for revisions, more info, links, etc., approval and posting can take as little as one day or sometimes a few days.  
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I am GUESSING that you are the one being reviewed and do not yet have a TER Profile. Do you? The first reviewer has to fill in all of the Profile info data fields and TER will have to check those, too. But it still shouldn't take too long.  
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The reviewer can check the status of his review in the "MyReviews" tab on his TER Account. I forget the various stages but it goes from "Submitted" or "Received" to "Pending" (in the review queue) and finally "Accepted" or "Unapproved." If rejected or "unapproved", the reviewer can rewrite / resubmit to try again.

Thanks has not been approved yet

Contact the person who said that they were going to write the review. Ask them about the status. Do you use more than one name? "Samantha" "Sammy" Maybe he spelled your name wrong. Search for your email address or phone number.
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The reviewer can check the status of his review in the "MyReviews" tab on his TER Account. I forget the various stages but it goes from "Submitted" or "Received" to "Pending" (in the review queue) and finally "Accepted" or "Unapproved." If rejected or "unapproved", the reviewer can rewrite / resubmit to try again.  
"Submitted" or "Pending" are good and just mean that things are slow. "Unapproved" means that he can ask why it was rejected. Then he can revise it and resubmit.