A saw a beautiful idea about dveikus in a sefer called Dorash Dovid.
He asks 'why did klal Israel only merit the level of prophecy that they did at the yam suf? How did this happen so soon after they were on the 49th level of Tumah in Mitzraim?'
He explains that inorder to receive prophecy, one has to elevate himself above the physical, inorder to be in a state capable of achieving an intimate connection with Hashem. This process is called dveikus. And the Meshech Chochma speaks about this:
'When a person knows that he is under the hashgacha of Hashem Yisborach, and when he knows that Hashem is capable of anything, and that Hashem feels his concern or pain more than he himself does, that person feels happy and calm. Because, he'll say, 'what is the use in worrying about these concerns, while Hashem feels them more than I do, and he is all powerful'. And this is called dveikus.'
At the sea, Klal Israel were surrounded on one side by a pursuing, mighty Egyptian army that had enslaved them for generations, and on the other by a vast and seemingly endless sea. When Klal Israel walked into the sea before it split - even until the water was up to their noses - so that they could follow Hashem and not go back the the Tumah of Mitzraim - they demonstrated they were willing to give up even their physical existence mamash for Hashem. That is how they achieved dveikus and came to the intimate connection of prophecy.
We should all be zocheh, with Hashem's help, to escape the grasp of Tumah by trusting in Hashem even when the situation seems impossible from every angle. We should always know and feel that He feels our pain even more than we do ourselves, and we should give ourselves up to Him completely.