Melbourne teenagers have been left in tears and parents claim they are out hundreds of dollars after a local debutante dress store closed without warning them, on the back of a slew of complaints.

Addison Rose Deb Dresses in Keilor East shut its doors on March 4, with a handwritten note in the store window advising customers that it would reopen in two weeks.

Several days later, a new note appeared claiming the store had closed due to a break-in on March 5, during which thieves allegedly stole custom ordered dresses.

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A spokesperson for Victoria Police told 9news.com.au confirmed police were called after an alleged burglary and the investigation into the incident was ongoing.

On March 11, the store announced on its now-deleted Instagram that it had "experienced two break-ins in recent months" and had been forced to close for "safety reasons".

The post also alluded to "harmful rumours" circulating about the business.

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Some customers have turned to Paula Parra, who owns Parra Gowns 5km down the road, after bad experiences with Addison Rose Deb Dresses.

Parra told 9News that girls turn up "week after week crying" about missing gowns.

She also owns an alterations business and previously supplied alterations for Addison Rose Deb Dresses, but cut ties over Arzanov's business practices.

"There was so many things that were going on that were so wrong," Parra alleged.

"I said, 'I can't deal with her anymore. This is wrong. She's gonna go down in flames, and she's not bringing my business down with her.'"

Addison Rose Deb Dresses remains temporarily closed and customers told 9News the store has been cleared of dresses.

Many are still seeking refunds on dresses that they fear will not arrive in time for their daughters' debutantes – if at all.