Savage Arms website has a barrel break in procedure listed you can print out. There are different philosphies on this. I break in all my new rifles. If I buy a used rifle, the first thing I do is clean the bore good with JB compound.
What breaking in does is removes all the minor defects in the bore, minute burrs etc. that can trap fouling - resulting in poor accuracy down the road as this fouling builds up.
Breaking in a new barrel will not make the rifle shoot any better. But it definately will make it easier to clean.
I tell everyone - Its your hard earned money that bought the rifle, so do what you think is best. BTW - the Tikka is a nice rifle and should shoot good for you.