Vanessa Robinson said she had joined the original protest outside the police station and it had begun peacefully.
She said the situation had now turned into "absolute chaos".
Maria Robinson, who lives in Tottenham, described the situation as "absolutely manic".
She said people were throwing bottles, "making bottle bombs", setting fires and shops had been broken into.
Another resident, David Akinsanya, 46, said several shop windows had been smashed.
"It's really bad," he said. "There are two police cars on fire. I'm feeling unsafe. It looks like it's going to get very tasty. I saw a guy getting attacked.
He added: "There was a police line of about 15 riot police sort of in front of the police station on the north side and then there were loads of uniformed officers on the south side of the police station.
"They weren't making any effort to go into the crowd. Every now and again they would rush the crowd and the crowd would run.
"But there seems to be a lot of anger in Tottenham tonight… as I left they were starting to attack the police station.
"Obviously they've got the toughened glass so the missiles weren't going through."
The Independent Police Complaints Commission is investigating the shooting of Mr Duggan.
The Met said a handgun was found at the scene and a bullet was later found embedded in a police radio.
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