I would say as long as it has been maintained well (get a mechanic to check it out if you don't know what to look for) and it's not rusty you're good to go. After you buy, catch it up with maintenance if needed, and give it a nice wash/wax.
It should last you a long time if you take care of it. 200k miles easily. You don't have to look very hard to find people with extremely high mileage (200k-300k) Hondas.
Person-I-know-Honda-anecdote: Family friend bought an '88 Accord new, drove it to 240k and gave it to a family member who is still driving it (no idea the current mileage).
Old-car-I-own-anecdote: I have a '92 Buick at 198,xxx miles (owned since 158,xxx). The only problems I've had with this old car were one oil leak and other horrible things that weren't the car's fault (hitting a deer, something on the road blowing a 3+ inch hole in the fuel tank, me bashing the passenger side mirror into something, etc.) I just got rid of a '99 Metro at 182k, and it was pretty beat up before I got it (at 146k).
Like JLee, I've only bought one car under 100k. And it was 24 years old at the time.