Admittedly a little bit of a resurrection - I apologise.
However, you should be fine providing the cabling was installed to a high quality.
I'm assuming the cabling is Category 5e and not just Cat5.
Providing that all pairs are punched down correctly at both ends and the cable is a good quality cable (not CCA, Copper-Clad Alliminium) you will be fine.
As AButters mentioned, shielding does come in useful when PoE applications are considered, however, this is more beneficial at larger demands (take a look at 802.3bt for example) or when cables are bundled together in a comms room for example.
I have witnessed in the past that the brown pair (the pair used for conventional 802.3af/at PoE) isn't punched down. This pre-dates Gigabit days where not as many pairs were required.
Simply put, bad installers or bad cable will provide you with issues.
However, good installers and a good cable will mean you have no issues.
A TDR/Modtap would allow you to double check all pairs are punched down, but only the most expensive cable testers will ensure the cable can handle the PoE safely.