Once described in court as a "menace to society", Quigley, who has 26 convictions for crimes against women, was released from prison six months ago.
His TikTok account shows a clip recorded at a window as he remarks: "You can see somebody riding up in the room. He's fair giving her some. See him? The head bopping up and down, dangerous stuff."
In the same clip, he shouts towards passing women on a Cork city street and in another refers to one woman passing him by as he waits for a bus as "a c**t".
He also filmed a group of women as they walked into a busy city bar and posted selfies of him drinking a pint of lager.
Quigley, who was once banned from owning a mobile phone after making thousands of obscene calls, also has convictions for sexual assault after touching schoolgirls inappropriately.
Using filters on the TikTok app, he shows himself in another clip appearing to wear eyeshadow and lipstick and sticks his tongue out before shiftily looking around him while in a city restaurant.
Quigley shows videos of himself on the bus between his native Mitchelstown and Cork city. He was imprisoned for sexually harassing teenage girls on a bus in 2018.
He served a two-year sentence imposed in 2019 for an unprovoked assault on a driver in his home town which left a woman badly battered.
At a sitting of Cork Circuit Court, Quigley was given a four-year sentence with two years suspended after being convicted of the savage attack on Amanda Donegan.
It was heard that Quigley suffered a brain injury in a car crash 19 years previously, which left him cognitively impaired and prone to impulsivity.
At the time, Ms Donegan said she was devastated by the leniency of the sentence for the attack on her, in which she had feared for her life.
"Having a head injury does not give him the right to give other people head injuries. I actually think that man is evil," she said.
"Even sitting there today made me want to be sick. I feel danger all around me. I used to be a strong, capable person.
"Sometimes I can't even go out of a house. Walking down the street frightens me. There is not enough done for people like him or people like me."
Ms Donegan has previously declined to speak to the Sunday World about the case.
Quigley was found guilty of assault causing harm to Ms Donegan and engaging in threatening and abusive behaviour towards her.
He tried to claim to gardai that Ms Donegan had called him a "paedophile" and a "c**t" but witnesses said the attack was entirely unprovoked.
A teenager, who gave evidence by video link, said he thought Ms Donegan was going to be killed in the incident.
His defence lawyer at the time said Quigley had been in a coma for 27 days after a car accident which had caused a "profound change in personality" in him.
The trial judge described Quigley as being a "menace" to society and said he was not entitled to revisit his trauma on innocent bystanders.
On the same day in court, Quigley was also sentenced to 18 months for harassing four teenage girls on a bus, telling them racist and sexist jokes before sexually assaulting one of them.
The teenagers were at the back of a bus on December 4, 2018 when Quigley sat next to them.
One of the young women said Quigley touched her inappropriately after she started coughing, placing his hands on her shoulder before reaching for her thighs.
"I was terrified. He started patting my thigh a few times throughout the journey. He was pushing close to me and breathing on me. He was invading my privacy. He smelled awful and he asked a few times if we liked his aftershave."
Another teenager said Quigley repeatedly said she was sexy. He called her hot and insisted that she must have a boyfriend. She told the court she was terrified by the incident.
"I was scared to go to the bus driver because I did not know him. He [Quigley] kept touching [my friend] on the thigh and the leg. He took out a piece of paper and gave me his phone number. He told me to call him and to send him compliments."
The girl gave the piece of paper to her teacher the following day and the principal alerted the gardai.