See if there's anything like caps in the centre of the tops of the hands, which can be unscrewed / popped out with a thin screwdriver. May well be screws underneath such caps.
As what ^ Madrab^ said change the complete,bling up your kitchen.
The grub screw's are located Either on the lower half of the tap handle,fully turn on the tap and have a poke around look for a recess it will be full of gunge maybe even gone solid.Its a very small allen or torx key.
Other either is a securing screw on the domed side of the handle but,cant see much from the photo.
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