Tomatoes already flowering

So my 6 Tom plants are all looking healthy but are only in 5 inch pots.
They are not rootbound so have plenty of space to grow, but they are all starting to flower now.
Do I nip off the buds or just let them go? Will they keep flowering after producing a small crop or once cropped thats it?

 

They are not rootbound so have plenty of space to grow, but they are all starting to flower now[/QUOTE]

If you hadn't said they're not rootbound, that's what I would have suggested (or otherwise being stressed, tall/spindly), so what variety are they, when did you sow them and have you got any pics?

I'm sure there's some 'problem page' quote about size not mattering that would cover this, as would those toms being a naturally small variety, like these ones of mine in much smaller 70mm pots (pic take a few minutes ago):

 

I am pretty sure they are Tumbling Tom's
I cant really remember when I sowed them, I'm not good at writing those things down. probably about 5 or 6 weeks ago I guess.

 

They are a short compact bush tomato, so those flowers are a sign of of a good healthy plant, don't remove them.

Are you planting them out in a window box, pots, etc? (that's what I'm doing with my Tumbler Toms, got both red and yellow tumblers coming on). They should bush up a lot more when they get outside.

 

I would start hardening them off, ready for planting in a couple of weeks. To me, they look fine

 

Mine have dried out a few times and look bad but have flowers already. Treat em mean and keep em keen ?

 

My tumblers wilted badly when I left them outside hardening off the other day whilst at work and it turned cold. I was gutted! Thankfully they recovered overnight in the kitchen. I'm going to pot them on and out them in the greenhouse tomorrow. No signs of flowers on them yet.