Savage model 110 and its variants are old standards. They have a reputation of being very accurate, owing to some of the ways they're manufactured. That gun dealer doesn't know what he's talking about.
For the record, the Savage 110 (It's now sold as the Stevens 200) made Field and Stream's list of 50 greatest guns. That should say something. Savage sells the same gun in fancier versions with its accutrigger (highly regarded) under model numbers like 111, 112, 114, etc. It's the longest manufactured rifle in America right now, debuting in 1959.
Type in Savage 110 and do some reading. Also Stevens 200. It's all very informative.