In a small 2-cup mini food processor, process/mince the anchovy fillets and garlic together until finely minced (do this together and firstly, otherwise it will not get minced properly with the other ingredients).
Add in the remaining ingredients, and process for 30 seconds, or more until well mixed.
Adjust seasonings to taste.
Thin with half and half until desired consistency .
Store any remaining dressing in the fridge.
Dressing will get thicker as it sits in fridge. You can add half and half to thinki tout and shake it to mix