Gloucestershire won all three One-day trophies on offer here last season with Harvey's deceptive medium-paced bowling a key ingredient. He was virtually unplayable as far as the home batsmen at Grace Road were concerned, taking two for seven off nine overs. Fellow opening bowler Jon Lewis'3-20 and Leicestershire was in dire straits at 14 for five.
However, Gloucestershire had earlier been skittled out for 116 and in the end defending such a meagre total proved just beyond it as Leicestershire stumbled to 117 for eight. Aftab Habib and Neil Burns struck 20 apiece to initiate a partial recovery to 57 for seven after 25 overs but it needed Jon Dakin (36 not out) to maintain the momentum.
He lost eighth-wicket partner Billy Stelling with the total on 76 but was then joined by James Ormond and his 13 not out proved invaluable. The pair still required 16 runs off the last two overs but completed a two-wicket win thanks to an unbroken stand of 41 as Leicestershire crept home with three balls to spare.
The match had been reduced to 41 overs a side due to the weather but Gloucestershire failed to use up its allocation as it was all out in 38.4.
Gloucestershire made a useful start with openers Tim Hancock (17) and Kim Barnettreached (44) giving it a sound start but after that only Rob Cunliffe (32) and James Averis (14) reached double figures, with veteran ex-England paceman Devon Malcolm taking three wickets.
Elsewhere England contenders Dominic Cork and Graeme Hick both played captain's innings. Derbyshire skipper and England all-rounder Cork secured his side a four-wicket second division win over Glamorgan at Derby with an impressive 83 not out.
Derbyshire had dismissed their Welsh opponents for 138 but were struggling at five for three before Cork began his recovery act. He survived the loss of three more partners until joined by Richard Illingworth with the total on 85. They shared an unbroken stand of 55 as Illingworth finished unbeaten on 21 while the task was completed with 3.2 overs to spare.
Meanwhile Hick's unbeaten 61 steered Worcestershire to a five-wicket victory over Sussex in the second division match at Kidderminster. Dutchman Bastiaan Zuiderent's 53 had lifted Sussex to 154 for nine in its 45 overs as seamer Stuart Lampitt took four for 37.
Worcestershire then appeared in trouble at 73 for five in reply before captain Hick was joined by wicket-keeper Steve Rhodes (39no) in an unbroken stand of 82 as the hosts eased home with 4.2 overs in reserve.
The first division match between Kent and Warwickshire at Canterbury was abandoned without a ball being bowled because of a waterlogged pitch and it was the same story in the second division fixtures between Middlesex and Durham at Lord's and Lancashire against Hampshire at Old Trafford.