jain2016 wrote:If we remove "a movie" from the second clause, then the second part will be an independent clause??
Technically the answer to your question is "Yes."
He had always wanted to see. is an independent clause with a subject and a verb.
At the same time, just to be clear, this structure does not really make sense.
I offered him a ticket to Spielberg's new movie; he had always wanted to see.
Clauses connected by a semicolon are generally closely related, being basically two parts of one thought. In that structure above what seems to be going on is that there are two almost completely unrelated ideas, the first that someone offered someone else a ticket, the second that the person had always wanted to see, as if he had not been able to see.
This would make more sense.
I offered him a ticket to Spielberg's new movie; he had always wanted to see it.