You shoulda' given me a call tosh!
Honest, I'm real good at patching up sliced fingers and hands (I've had lots of practice over the years

)
I very nearly lopped the top off one of my little fingers using one of those veg slicers and I managed to stick it back on, hardly any scarring too! And it cut all the way back almost to the nail

When I was a decorator I used to use a sharpened up putty knife (I always like a knife to be sharp enough to shave the hairs off the back of my hand...I shoulda' been a tinker

) for cutting the skin off gloss and so on...
Did it one day and without thinking I held a rag in one hand, and with the other drew the knife along the rag to get the gloss off it...neatly slicing the rag and a huge 3 inch gash right across the palm of my hand....clever huh?
But I really have got a dab hand at fixing up sliced fingers...can't do severed arteries though
My son severed one in his forearm...not a window cleaning tale though...but it was caused by falling through a window!
Inside of the ambulance was like an abbatoir
I had to help the paramedics stem the bleeding...what a night that was

Ian