(wave someone/something through) to make a signal with your hand that shows you are allowing a person or vehicle to go through a gate or other entrance
The policeman on dutywaved me through.
Synonyms and related words
To use a particular gesture to communicate something
acknowledge
bat your eyes/eyelashes
beckon
2
(wave something through) to give permission or approval for something immediately and often without checking or considering it properly
Most countries have waved the legislation through.