How much are they quoting you and are they going to use OEM?
Doesn't look like there is major tear in the boot (doesn't look like grease is flinging a lot), maybe boot replacement alone may work though most dealers/mechanic won't recommend it since labor cost is going to offset the savings BUT if you are up to doing DIY, then you get to use OEM axle still (is it still difficult to get?) which maybe FAR superior than 3rd party that they may throw in there.

 

Yep, agree with the above comments. They do not appear to be slinging grease all over the place. Usually is there is a tear/crack/break the grease starts to get flung around.

I'd crawl under there and feel around with hand to see if it is CV joint grease coming out, if so its early and if you are a DIY person, then get new boots (from Honda) and repack. Even if not experienced, the CV joint grease is thick, sticky, stinky stuff, you should be able to tell it from say oil that may have seeped past the tranny seal. The aftermarket shafts aren't very good and new Honda shafts are crazy expensive. If you go the, have the shop do it approach, try to verify what they will install.

 

I went through this last year. You cannot find Honda CV axles, they don't make them anymore...near as I could tell.

 

Stock can be spotty for older models, early this year my local dealer had 6 driver sides in stock with 13 showing in the local warehouse. Previous to that I couldn't find any available anywhere.

I was told that after that, it's on galactic backorder. A shoulder shrug is an acceptable answer to an ETA question about galactic backorder parts.

 

Too bad that you have to pay for their mistakes (broken part). The pictures above show an oil spill. The torn boot with leaking grease would look more thick. Probably a spill "from above". Honda-labeled CV axles are hard to find, most of them are no longer manufactured. This is probably a passenger side. So. I would clean the boot really well, as well as the surrounding area, take the pictures and inspect in a few days or weeks. New CV joints with the boots cost almost the same at the new axles.

 

I would leave it alone. Until you start troubleshooting/having driveline vibrations or clicking while turning etc...

Most shops always find something else to keep it "like new", but it's an old machine.

 

I agree. Looking at your photos, I do not see any issues or significant leak.