5 month old still wakes at night!

My 5 month old wakes up at night when she can't find her binky. Then just keeps knocking it out after I put it back in.  We use the wabbanubs but she still can't keep it in her mouth. I'm thinking of just taking the binky from her so she'll just go back to sleep without one. Anyone else in the same situation? What do you do? I'm exhausted for not getting continuous sleep!