It probably will be up to the job, yes.

Obviously it's getting-on now but assuming there has been no issues with the reticle or turrets it should be fine. In fact you may well find it to be IDEAL for springer being light, low mag and having 'quick sighting' (not being overly fussy about head position).

I have 2 little Leupold M8 4x32 scopes on 2 of my springers for those very reasons - they are a few years younger than your Weaver, but the principle is the same.
 
kitplanenut - here's a quote from 2009 that should reassure you...
"Todays firearms manufactures have quit putting iron sights on rifles to save money.
And the new generation of shooters are brain-washed into thinking they need a 12X-20x, 30mm, Tackycool scope to shoot a deer 100 yards away.

And back then, scopes were a "new thing" for riflemen weaned on M-1 Garands in WWII, and they didn't trust scopes yet.

I'm not saying todays better scopes are not clearer and tougher and better then a Weaver K series scope made 50 years ago.

But I have used Weaver K2.5, K-3, K-4, K-6, and K-10's in the years since my first on in 1960, and have yet to break one. Oh! I forgot the old Weaver V-9 on my 25-06!

And I couldn't be more satisfied with their performance on game or targets".

From a Mr rcmodel (which is kind of neat)