Unusual Dock Icon Appearing in OS X 10.10 Yosemite

Lately, I've been getting this unusual "clone" of the Chrome icon appearing at the left side of my Dock. It comes out randomly. Initially, I thought it's a new feature that binds the iPad session on Chrome to the one in Mac.

The position is very odd (left side of the Finder). And whenever I click it, it merely opens a random commercial site. That's when I felt suspicious.

Is this a new feature that simply needs to be disabled, or is this a malicious program? Any idea how to remove this?

That is Handoff and a natural feature when OS X and iOS devices are signed into the same iCloud account. This works if you have iOS 8+ or OS X 10.10.x Yosemite. If you have a supported application then you will be able to open it on your Mac right where you left off on your iOS device.

Looks like you was running Chrome on your iPad at the time.

If you wish to disable Handoff on a Mac, open 'System Preferences' and select 'General'. It's the check box labeled "Allow Handoff..." towards the bottom of the window pane.

If Bluetooth is off, Handoff is disabled as well.