Student or Learner
Can you tell which one can be choosen as a nick name...?
Do you mean that Dreamy Eyes is better than Dreamy Glance (as a nick name)...?
If it right
Can you tell me Why (Dreamy Glance) is not advisable..?
What about "Dreamy Gaze", so that you can keep "G" and also have a nice "z"?
The better reason to me is that we can use eyes as metonymy for the whole person. One part of your standing in for the whole. A glance is an action and doesn't work as well.
Dreamy Glance is contradictory -- A glance is too fast to be dreamy.
I don't like Dreamy Gaze at all. Sounds like you can't concentrate. But it's a personal choice.
I'm not a teacher, but I write for a living. Please don't ask me about 2nd conditionals, but I'm a safe bet for what reads well in (American) English.
The title of your thread does not give much clue to your question.
Here are some helpful ideas that Raymott posted once:
Here some useless titles (in my opinion):
Help me with this word
Urgent help needed!
How should I say this
Is this correct?
Here are some useful titles:
Pernickety - what is it?
IELTS exam information, please
should or shall
for the want of a nail ...
trash - is this a verb?
So: Help choose a nickname would have been better for you.