Police were called to Sompting Avenue at around 7.45pm on December 1 following reports of an assault.
A woman was taken to hospital for treatment and has since been discharged.
A 56-year-old man from Worthing was arrested on suspicion of assault occasioning actual bodily harm, common assault, and failure to surrender firearm ammunition on revocation of a certificate.
He has been released on bail while police continue their investigation.
During a search of a property in connection with the investigation on Tuesday, December 2, officers seized multiple items.
Anyone with information that could assist the investigation is urged to contact police.
Reports can be submitted online or by calling 101, quoting serial 1242 of 01/12.
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