She really is totally fine, but that doesn't mean it's easy to never have a break! She's old enough now for you to start drawing boundaries. Start with short periods, where you gently place her a little bit away from you and tell her "I have to work now, sweetie. But in 15 minutes, we'll play!"
Be ready for her to melt down. Tantrum city! But continue to work (or pretend to work while casually eyeing her to make sure she doesn't knock herself unconscious while tantruming...) Once she's calmed down on her own, let her know what a great job she's doing! Remind her that you're so proud of her, and that you have a little more work to do, but will play with her soon!
She obviously won't understand every word you say, but she'll get a lot of it. And she'll understand your tone and praise! At the end of the 15 minutes, give her oodles of affection and praise. Just love love love on her!
Do this multiple times a day, and increase the time. When she abruptly stops and wants mama- pick her up, give her a quick cuddle to make sure all is well, then put her down and do the same thing. It's going to take a few weeks for her to really understand, but it will sink in.
But I wouldn't expect her to be able to play on her own for more than 30-60 minutes (depending on her personality) at a time. Most 14 month olds are independent, but not THAT independent- you know?
And you sound like you have a wonderful partner in your husband! So great! Keep giving him that time with her, whenever he's home (especially if you are too). Her being comfy and happy with daddy while you're gone will lead right into the same behavior even when you're home- just keep reminding her "daddy's playing with you now" and "daddy will help you with that." It's ok if she has a tantrum over it, as long as you guys don't give in. Tantrums are important for toddlers, because they have to find out how to communicate their wants. And this is the first real step towards that! She'll figure it out, as long as you stay consistent. Ignore the dramatics, and praise her as soon as she stops.
My 15 month old son is so similar to your daughter, but this approach is really working for us. Good luck!