While the recent iOS 5.0.1 update to Apple’s mobile OS claimed to fix battery issues on the new iPhone 4S and other devices in its pantheon, user reports on the Apple support forums indicated that it may not have addressed them all.

Now Apple has released a statement, as reported by John Paczkowski at All Things D, about the problems, indicating that they may not all be put to rest yet.

“The recent iOS software update addressed many of the battery issues that some customers experienced on their iOS 5 devices,” the company said in a statement. “We continue to investigate a few remaining issues.”

It seems likely that Apple pushed the OS out quicker in order to fix some security issues, including a vulnerability discovered by researcher Charlie Miller in the way that the new JavaScript engine for Mobile Safari handled code signing.

So it appears that those who continue to have battery life issues may have a bit longer to wait before they are fully resolved. Until then, check out some of the battery saving tips in this post.