According to the USDA, it is perfectly safe to refreeze food within 3-4 days, whether it was cooked or not.
"Refreezing
Once food is thawed in the refrigerator, it is safe to refreeze it without cooking, although there may be a loss of quality due to the moisture lost through thawing. After cooking raw foods which were previously frozen, it is safe to freeze the cooked foods. If previously cooked foods are thawed in the refrigerator, you may refreeze the unused portion. Freeze leftovers within 3-4 days. Do not refreeze any foods left outside the refrigerator longer than 2 hours; 1 hour in temperatures above 90 °F.
If you purchase previously frozen meat, poultry or fish at a retail store, you can refreeze if it has been handled properly."
http://www.fsis.usda.gov/wps/portal/fsis/topics/food-safe...
However, there are some foods that will lose quality if refrozen, and constant freeze/thaw can lead to undesirable taste/texture, ice crystal buildup & freezer burn.
Personal anecdote - my husband makes an amazing homemade spaghetti sauce from scratch, in an 8-qt stockpot. Many years in winter he would make a huge pot of sauce, add noodles, & scoop out what we needed for dinner, sticking the pot on the back porch to refreeze, then the next night bring it in & thaw it enough to scoop out meals & refreeze the rest. Never had any issues. Now we have a 2nd freezer, so we just make a huge batch of the sauce & portion it out to freeze, & make the noodles fresh for each meal.
Bon Appetit! T.