I've been meaning to post this for a little while. It's to encourage mums with young babies who feel desperate and obsessed about sleep!
This time last year, DS1 was 3.5 months old and I had barely slept for 3.5 months!
Not only was he up a LOT at night, but he wouldn't sleep during the daytime unless it was ON ME (or DH), or occasionally in the car seat or buggy. There was just no putting him down, even after falling asleep feeding, rocking etc. Hit the mattress, wide awake, nap ruined for the next 3 hours. So all my plans to catch up on zzz'a during the day were scuppered, and I was like an absolute zombie.
People have said that by not insisting on putting DS down, despite his screams, that we'd regret it...rod for your back etc...I used to worry daily about how to sort out his sleep and what would happen long-term. But gradually, he became happy to sleep in his cot during the daytime, (I can't even remember when, but not til sometime around 10-12 months) and now at 15 months I just change his nappy, draw the curtains, put him in his cot with his bunny and close the door. AND HE FALLS ASLEEP ALL BY HIMSELF!!!! 
Same deal at night time.
Walking...eating...activity...talking incessantly...all seems to have worn him out sufficiently that he just conks out now, whereas he clearly couldn't settle as a wee nipper and was pretty grumpy most of the time.
I must add that we did a small bit of letting him cry at around 7 months, once he was weaned and not wanting a BF, just at night time and not for long. That's when he started sleeping through.
I hope this helps other mums with limpet babies not to panic that they'll necessarily always want to be glued to a boob/your shoulder in order to nap...I realise some babies do seem to be higher need for a long time, but in our case I thought that's how it would be but it gradually changed and now I feel fairly normal 