Is it a good idea to buy a used Honda Civic with 125,000 miles? Advice?

It's on Craigslist. I've talked to the seller, and he says it's clean, spacious, runs like new, has a clean title, and is in excellent condition. 125k miles is not very many miles for a car that was built over 13 years ago. He wants to sell it for $4300, which is above the Kelly Blue Book value of $3600-$3800. I would like to pay no more than market price for it (preferably less).

I plan to test drive it and possibly have it inspected before purchasing, but I also do not want to pay above Blue Book value for it.

Any advice/suggestions about whether this would be a good investment? How long will a Honda Civic last me? And how could I haggle him down?

Added (1). Forgot to mention:

It's a 2001 Honda Civic LX.

The mileage is actually low. The usual is 12000 miles per year. If it was properly maintained it could last at least 300k miles. Hondas are know for their reliable engines.

At the age & miles, asks if the timing belt/water pump has been replaced. This is usually recommended to be done at 7 years or around 100k miles.

Yes, it is a very good idea to get It inspected by a mechanic.

Let the seller know that his price is higher than fair market value. You can also try to point out if the timing belt/water pump service has not been done yet. Or try to see if there are other flaws you can see in the car, like dents, or worn out tires, needs paint etc.
There's just no guarantee that they will lower their price. If they don't, then you can also look somewhere else.

Ask your mechanic after he looks at it.