I'm doing it right now, but I'm saving specifically for a downpayment on a house, an emergency fund, and a (please, facepunch me) wedding. I've also already saved $11,000 this year in IRA's (2014 and 2015 contributions happened in 2015, I couldn't afford it last year but got a big pay jump and bonus in January), and will probably be able to save $5,500 additional in my Fiance's IRA after we're married.
Unless you are saving for something short term and you won't be able to afford it in time, there really isn't a good reason to stop maxing them out if you're able to do that and still live comfortably. And even then, if you put it in a Roth IRA you can take out the principal penalty free.