Is the idea that the pleasures we experience now are mild foretastes of Heaven Biblical? Several authors1 have suggested that the pleasures we can experience in our lives are but a small foretaste of the pleasure we could experience in Heaven.

&quot;It is a sudden and miraculous grace that is in fact evangelism, giving a fleeting of Joy, Joy beyond the walls of the world, poignant as grief . . .&quot; (JRR Tolkien)
&quot;Furthermore, when you understand that earthly pleasures are meant only as a foretaste of the indescribable pleasures that await us, your compulsion to overindulge is tempered by the realisation that no particular pleasure can ultimately satisfy.&quot; (Ted Dekker)

I prefer the seemingly widespread notion that the happiness of Heaven is immeasurably greater than even the greatest happiness here. But WHERE is there anything suggestive of this in the Bible itself?
1 Writer Randy Alcorn suggests we CAN imagine Heaven. In fairness to his viewpoint the 'Eye hath not seen nor ears heard...&quot; quote from Corintheans (if fully read through) does NOT mean we cannot contemplate the afterlife.
There are many ways of coming at your question.  In somewhat random order, I suggest the following as answers:


Why do you think another word for heaven is paradise?  Is it because its joys are fewer and less intense than the joys on earth?  There's an ironic phrase that goes "trouble in paradise," which is ironic simply because there is no trouble in paradise!  See Paul's description of what he heard in the "third heaven," which he also called paradise (2 Cor 12:1 ff.).  
How could heaven not be better than the best that life has to offer here on earth, since in heaven there will none of the following:  tears, death, mourning, crying, pain (Rev 21:4); the old things (Rev 21:5); thirst (Rev 21:6); ugliness (look at Revelation 21 and its description of the holy city, New Jerusalem); dogs, sorcerers, immoral persons, murderers, idolaters, liars (Rev 22:15); darkness (Rev 21:23); Satan and his demons (Rev 20:10)
How about the positive things heaven has to offer:  the presence of Jesus (1 Thes 4:17); perfect, complete, face-to-face knowledge, and not the knowledge of imperfect reflections as in a mirror (1 Cor 13:10-13); eternal life (John 3:16); all of God's saints from time immemorial to saints whom we knew on earth as family members, friends, acquaintances, mentors (1 Thes 4:13-18, and Revelation, passim); the worship of God without the distractions of sin, time limitations, unanswered questions, trials and tribulations, and a host of factors that cause our fellowship with other believers to be less than joyful here on earth, such as: divisions according to sex, denomination, skin color, national origin, language, culture, customs, appearance in general, in-groups and out-groups, cliques, theological differences, age, and so much more.  


I could go on for quite a bit, but I think you get the idea.  I haven't even dipped into the hints of eternal bliss that are found in the Old Testament, and I'm sure there are many.  Maybe I'll revise my answer another time!