Intel Core i5-3470 Ivy Bridge 3.2GHz

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The stock Intel heatsink fan will be fine. As long as you have adequate ventilation in your case, the only concern I might have is if you run extensive gaming sessions with turbo enabled, you may want to monitor your temps. Other than that, no worries.
Hope it helps
 

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Titan
Moderator
If the stock HSF was not good enough, Intel would not be shipping it with boxed CPUs as the official heatsink for full warranty coverage.

However, everyone I know who has had a LGA775/1156 motherboard and used the stock HSF ended up having thermal problems after ~3 years likely due to the plastic frame + push pin setup loosening from deformation (thermal + vibrations) over time.

The above is just a little something to keep in mind if you start noticing that your PC is becoming sluggish for no apparent reason ~3 years from now, it may very well be thermal throttling telling you the stock HSF needs replacement.

Managing to design a HSF mounting mechanism that seems to fail so predictably is a small feat of engineering in itself.