Most of the Sandy and Ivy non-K i5 and i7 chips could get a modest *overclock* by messing with Turbo settings. You could force them to go to max or near max Turbo all of the time. You might be able to do this with your i5-4440, but I can't say for sure because Haswell might not have this capability.
I highly doubt you could damage the chip with BCLK overclocking. It just can't go far without crashing and that isn't dangerous to the chip, unless you punch the CPU cooler when it crashes from being upped too much. The issue is that the BCLK controls things like the PCIe clock and they have very little wiggle room for stability. at best though you might only get about 3% to 5% before it is too unstable, so it isn't worth much, but there is no risk.
If you can force more out of the Turbo, then that would be a good performance improvement, but again I don't know if Haswell has the capability to control the Turbo settings like Sandy and Ivy did.