Answer by taking a quote from the following article:

Amy Winehouse was born in Chase Farm Hospital, in north London, to Jewish parents. Her father, Mitchell "Mitch" Winehouse, was a window panel installer and then a taxi driver; and her mother, Janis Winehouse (nee Seaton), was a pharmacist. Winehouse's ancestors were Russian Jewish and Polish Jewish immigrants to London. Amy had an older brother, Alex (born 1979), and the family lived in London's Southgate area, where she attended Osidge Primary School.

In 2006, Winehouse admitted to punching a female fan in the face for criticising her having taken Blake Fielder-Civil as a husband. She then attacked her own spouse as he attempted to calm her down. In October 2007, Winehouse and Fielder-Civil were arrested in Bergen, Norway, for possession of seven grams of cannabis. The couple were later released and fined 3850 kroner (around PS350). Winehouse first appealed the fines, but later dropped the appeal.  On 26 April 2008, Winehouse was cautioned after she admitted to police she slapped a 38-year-old man in the face, a "common assault" offence, her first of two. She voluntarily turned herself in and was held overnight. Police said, at her arrival she was "in no fit state" to be interviewed. Ten days later, Winehouse was arrested on suspicion of possessing drugs after a video of her apparently smoking crack cocaine was passed to the police in January, but was released on bail a few hours later because they could not confirm, from the video, what she was smoking. The Crown Prosecution Service considered charging her, but cleared her when it could not establish that the substance in the video was a controlled drug. Some members of Parliament reacted negatively. Two London residents were subsequently charged with conspiracy to supply cocaine and ecstasy to Winehouse. One of the pair was sentenced to two years in prison on 13 December 2008, while the other received a two-year community order.  On 5 March 2009, Winehouse was arrested and charged with common assault following a claim by Sharene Flash that Winehouse hit her in the eye at the September 2008 Prince's Trust charity ball. Winehouse's spokesperson announced the cancellation of the singer's US Coachella Festival appearance in light of the new legal issue, and Winehouse appeared in court on 17 March to enter her plea of not guilty. On 23 July, her trial began with prosecutor Lyall Thompson charging that Winehouse acted with "deliberate and unjustifiable violence" while appearing to be under the influence of alcohol or another substance. She testified that she did not punch Flash, but tried to push her away because she was scared of her; she cited her worry that Flash would sell her story to a tabloid, Flash's height advantage, and Flash's "rude" behaviour. On 24 July, District Judge Timothy Workman ruled that Winehouse was not guilty, citing the facts that all but two of the witnesses were intoxicated at the time of the incident and that medical evidence did not show "the sort of injury that often occurs when there is a forceful punch to the eye."  On 19 December 2009, Winehouse was arrested for a third time on charges of common assault, plus another charge of public order offence after assaulting the front-of-house manager of the Milton Keynes Theatre after he asked her to move from her seat. Winehouse plead guilty to the charges and was given a conditional discharge.

Did she receive punishment for that?
Winehouse plead guilty to the charges and was given a conditional discharge.